Sébastien Ferenczi, Charles Holton, Luca Q. Zamboni  Home/Search
Context Related
| berkeley.edu/~cholton/structure1.ps Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: berkeley.edu/~cholton/paper (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: In this paper we describe a 2-dimensional generalization of the Euclidean algorithm which stems from the dynamics of 3-interval exchange transformations. We investigate various diophantine properties of the algorithm including the quality of simultaneous approximations. We show it verifies the following Lagrange type theorem: the algorithm is eventually periodic if and only if the parameters lie in the same quadratic extension of Q: Resume Dans cet article nous decrivons une generalisation a... (Update)
Context of citations to this paper: More
...necessary to the understanding of the present paper, the last section is devoted to a short presentation of these ideas. In the sequels [16, 17] we use the symbolic combinatorial arithmetic interaction to 4 S EBASTIEN FERENCZI, CHARLES HOLTON, AND LUCA Q. ZAMBONI solve several...
...that b ff c = k and the corresponding circle map sequence has D expansion (a n ; i n ) n2N . We also want to mention the recent paper [21] of Ferenczi, Holton, and Zamboni which introduces a generalized continued fraction algorithm for three interval exchange transformations...
Cited by: More
Linearly Recurrent Circle Map Subshifts and an Application .. - Adamczewski, Damanik (2001) (Correct)
Arnoux-Rauzy Subshifts: Linear Recurrence, Powers, And.. - Damanik, Zamboni (Correct)
Linearly Recurrent Circle Map Subshifts And An Application .. - Adamczewski, Damanik (Correct)
Active bibliography (related documents): More All
1.1: Directed Graphs And Substitutions - Holton, Zamboni (1997) (Correct)
1.0: Research Interests - Holton (Correct)
0.7: Recent Results on Extensions of Sturmian Words - Berstel (2001) (Correct)
Similar documents based on text: More All
1.0: Structure Of Three-Interval Exchange Transformations II: .. - Ferenczi, Holton.. (2001) (Correct)
0.8: Systèmes De Numération Independants Et.. - Hansel (Correct)
0.6: The Mother of all Continued Fractions' - Dajani, Kraaikamp (Correct)
Related documents from co-citation: More All
8: Uniform spectral properties of one-dimensional quasicrystals - Damanik, Killip et al. - 2000
5: An extension of Lagrange's Theorem to interval exchange mappings over quadratic .. (context) - Boshernitzan, Carroll - 1997
4: Echange d'intervalles et transformations induites (context) - Rauzy - 1979
BibTeX entry: (Update)
S. Ferenczi, C. Holton, L.Q. Zamboni, Structure of three interval exchange transformations I: An arithmetic study, Ann. Inst. Fourier (Grenoble), 51 no. 4 (2001), 861-901. http://citeseer.ist.psu.edu/article/ferenczi01structure.html More
@misc{ ferenczi01structure,
author = "S. Ferenczi and C. Holton and L. Zamboni",
title = "Structure of three interval exchange transformations I: An arithmetic study",
text = "S. Ferenczi, C. Holton, L.Q. Zamboni, Structure of three interval exchange
transformations I: An arithmetic study, Ann. Inst. Fourier (Grenoble), 51
no. 4 (2001), 861-901.",
year = "2001",
url = "citeseer.ist.psu.edu/article/ferenczi01structure.html" }
Citations (may not include all citations):439 An introduction to the theory of numbers (context) - HARDY, WRIGHT
42 Die Lehre von den Kettenbruchen (context) - PERRON - 1929
35 Symbolic dynamics (context) - MORSE, HEDLUND - 1938
31 Sequences with minimal block growth (context) - COVEN, HEDLUND - 1972
17 Multi-dimensional continued fraction algorithms (context) - BRENTJES - 1981
14 Representation geometrique de suites de complexite 2n (context) - ARNOUX, RAUZY - 1991
14 Ergodic Theory of Fibred Systems and Metric Number Theory (context) - SCHWEIGER - 1995
8 Echanges d'intervalles et transformations induites (context) - RAUZY - 1979
8 Interval exchange transformations (context) - VEECH - 1978
8 Structure of three-interval exchange transformations III: er.. - FERENCZI, HOLTON et al. - 2001
8 Structure of three-interval exchange transformations II: a c.. - FERENCZI, HOLTON et al. - 2001
7 The metrical theory of Jacobi-Perron algorithm (context) - SCHWEIGER - 1973
5 Symbolic dynamics II: Sturmian sequences (context) - MORSE, HEDLUND - 1940
5 Nombres algebriques et substitutions (context) - RAUZY - 1982
5 Imbalances in Arnoux-Rauzy sequences (context) - CASSAIGNE, FERENCZI et al. - 2000
4 Multidimensional continued fractions (context) - SZEKERES - 1970
4 ergodiques et arithmetiques de la substitution de tribonacci (context) - CHEKHOVA, HUBERT et al. - 2001
4 A new class of continued fraction expansions (context) - KRAAIKAMP - 1991
4 Approximations in ergodic theory (context) - KATOK, STEPIN
3 Jacobi-Perron algorithm and substitutions (context) - ARNOUX, BERTHE et al. - 1999
3 An extension of Lagrange's theorem to interval exchange tran.. (context) - BOSHERNITZAN, CARROLL - 1997
3 Frequencies of factors in Arnoux-Rauzy sequences (context) - WOZNY, ZAMBONI - 2001
2 Uber eine besondere Art der Kettenbruchentwicklung reeller G.. (context) - HURWITZ
2 La periodicite des fractions continues multidimensionnelles (context) - KORKINA - 1994
2 Un exemple de semi-conjugaison entre un echange d'intervalle.. (context) - ARNOUX - 1988
2 The visits to zero of some deterministic random walks (context) - AARONSON, KEANE - 1982
2 Sur une representation geometrique du developpement en fract.. (context) - KLEIN
2 A generalization of Sturmian sequences; combinatorial proper.. (context) - RISLEY, ZAMBONI - 2000
1 The Jacobi-Perron algorithm; its theory and applications (context) - BERNSTEIN - 1971
1 Letter to C.D.J. Jacobi (context) - HERMITE
1 On simultaneous diophantine approximation in the vector spac.. (context) - BURGER - 2000
1 on Pure and Applied Math (context) - ARNOLD, algebras et al. - 1989
1 Tilings and rotations: a two-dimensional generalization of S.. - BERTHE, VUILLON - 2000
1 Une generalization du developpement en fraction continue (context) - RAUZY
1 On periodic sequences for algebraic numbers (context) - GARRITY - 1999
1 Uber periodische Approximationen algebraischer Zahlen (context) - MINKOWSKI
1 A characterization of real quadratic numbers by diophantine .. (context) - HARA-MIMACHI, ITO - 1991
1 On real quadratic number fields and simultaneous diophantine.. (context) - BURGER - 1999
1 Ein Kriterium fur algebraishcen Zahlen (context) - MINKOWSKI
1 A family of counterexamples in ergodic theory (context) - JUNCO - 1983
1 Sur la solution des problemes indetermines du second degre (context) - LAGRANGE
Documents on the same site (http://math.berkeley.edu/~cholton/paper.html): More
Descendants Of Primitive Substitutions - Holton, Zamboni (1999) (Correct)
Initial Powers Of Sturmian Words - Holton, Zamboni (2001) (Correct)
Structure Of Three-Interval Exchange Transformations II: .. - Ferenczi, Holton.. (2001) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC